The Impact of Discounting on an Auction with a Buyout Option: a Theoretical Analysis Motivated by eBay’s Buy-It-Now Feature

An auction with a buyout option occurring over continuous time with rules similar to eBays buy it now option is analyzed. When auction participants make no distinction as to when a transaction occurs, the seller optimally chooses a buyout option price so high that bidders never exercise the option. However, time impatience on either side of the transaction can motivate the seller to offer an option price low enough so that the option is exercised with positive probability. Further, allowing a time impatient seller to offer such an option results in an ex ante Pareto improvement when bidders do not discount future transactions.     

Auction markets for dispatchable power: How to score the bids

Competitive bidding for electric generating capacity is becoming based on economic dispatch rather than the PURPA must-take norm. Incorporating economic dispatch into bidding requires different price scoring procedures. The avoided cost of a dispatchable project is determined by the energy price offered. Price scoring methods based on a percentage of avoided cost approach are uneconomically biased against baseload projects, because they neglect the duration effects of their dispatch. This bias is illustrated in a simple model of economic dispatch. A number of utilities use the percentage of avoided cost method for dispatchable capacity. They can correct the bias by using a net benefits per kW measure of economic value.     

Full price competition and Dupuit's defense of the long-and-short-haul “discrimination”

Condemnation of the long-and-short-haul discrimination has been nearly ubiquitous in the literature on economic theory and transportation. However, the French economist Dupuit developed a case against all transport regulation by relating it to a defense of the practice of place discrimination before the middle of the nineteenth century. He did so, moreover, within an early elaboration of a full price explanation of competitive functioning. This paper analyzes the idea in Dupuit's context and argues that this so-called form of price discrimination is actually an efficient and necessary form of the competitive process.     

Mutually Destructive Bidding: The FCC Auction Design Problem

In general, synergies across license valuations complicate the auction design process. Theory suggests that a simple (i.e., non-combinatorial) auction will have difficulty in assigning licenses efficiently in such an environment. This difficulty increases with increases in fitting complexity. In some environments, bidding may become mutually destructive. Experiments indicate that a properly designed combinatorial auction is superior to a simple auction in terms of economic efficiency and revenue generation in bidding environments with a low amount of fitting complexity. Concerns that a combinatorial auction will cause a threshold problem are not borne out when bidders for small packages can communicate.     

Commitment and price competition in a dynamic differentiated-product duopoly

This paper characterizes linear Markov-perfect equilibrium in a duopolistic environment where firms engage in dynamic price competition. Firms have constant (but potentially different) marginal costs and produce differentiated products. We show that, for the case of linear demand, dynamically stable Markov-perfect equilibrium prices are strictly higher than one-shot Nash equilibrium prices, but lower than fully collusive (monopoly) prices. We provide closed-form solutions for the Markov-perfect equilibrium prices which, in principle, can be estimated given data on firm demand and costs. Our results suggest that static two-stage models of price commitment are on reasonably solid ground in that they might be viewed as a reduced form for more complicated dynamic models.     

Price leadership in a duopoly with capacity constraints and product differentiation

This paper analyzes Stackelberg price leadership in a duopoly in which firms are capacity constrained and products are imperfect substitutes. Assuming symmetric substitutes, linear demand, and efficient rationing, we characterize the equilibria with an exogenously specified leader. Using the equilibrium profits derived from these games, we argue that over certain ranges of asymmetric capacities an endogenous price leader will emerge. When endogenous leadership does arise, it is the large capacity firm which is the leader. We thus provide a game theoretic model of dominant firm price leadership.Dave Furth's research has been undertaken as a part of the project Competition and Cooperation. Dan Kovenock has benefited from financial support from Erasmus University Rotterdam, the Krannert School of Management, and the Jay N. Ross Young Faculty Research Fellowship. We are grateful to Tom Faith for valuable research assistance. We have benefited from the comments of the editor, two anonymous referees, and participants at the European meetings of the Econometric Society in September 1989 and the North American Winter Meetings of the Econometric Society in December 1989.     

From “tax state” to “debt state”

The paper is motivated by Joseph A. Schumpeter's The Crisis of the Tax State. It inquires whether the buildup of government debt in peacetimeprosperity is a threat to the stability, existence or creation of viable tax states. The paper begins by setting out Schumpeter's conception of the tax state and the nature of recent political-economic events which have reinvigorated the concept. Next the paper sets out some simple debt dynamics and sketches a debt-induced business cycle arising from heavy reliance on debt finance in peacetimeprosperity. Finally, the paper assesses threats to the tax state in light of recent work on path dependence and positive feedback. An attempt is made to throw some light on whether the plethora of new, and often small, states spawned by the demise of communism can be viable tax states.Essay on Government, the Tax State and Economic Dynamics submitted to the Third Schumpeter Prize Competition.     

Public-Choice Analysis of a New International Organization: The International Sea-Bed Authority

The usefulness of the public-choice approach for a better understanding of international organizations can be demonstrated by applying it to the analysis of the structure and functions of a new international organization, the International Sea-Bed Authority, established in 1994, after two decades of negotiations under the auspices of the United Nations, with the aim to control the oceans' mineral resources beyond the limits of national jurisdictions (which have been proclaimed by the U.N. Assembly common heritage of mankind). First, the reasons for establishing this organization, whose basis is the common heritage of mankind nature of ocean resources, are examined under two aspects: 1) definition and protection of property rights; 2) environmental control of sea-bed mining activities. Secondly, the organization's decisionmaking system is presented, including such features as the assembly, council with chamber voting, finance committee with decision by consensus, features that balance the voting power of members and protect those countries that bear the financial responsibility for the budget. Finally, some comments are offered about more general aspects of the theory of international organizations: the bureaucracy (and diplomacy) of these organizations as well as the interdependence among international organizations, which opens the way to forms of international logrolling and makes it advisable for countries not to exit from these organizations, even when they have no primary interest in them.     

Marktstruktur und Preisverhalten in der österreichischen Industrie

Summary Being part of a larger investigation concerning forms and intensity of competition in the Austrian economy this paper deals with the characteristics of market structure and pricing behaviour in the industrial sector. Mainly based on a detailed questionnaire this study is representative for the group of larger Austrian industrial enterprises (sales of more than 100 Mill. AS) which produced more than two thirds of total industrial ouput. According to this study the dominant market structure of the Austrian industry is that of a close oligopoly. The subjective estimation of the price elasticity of demand by the firms participating in our survey was generally very pessimistic, being the lower the larger the market share of the respective firm.The most common principle of price formation for new products in the Austrian industry is a system of flexible full cost pricing, meaning cost orientation plus variable profit margins. Our study also shows that a large majority (60% resp. 80%) of the enterprises under investgation use discount, i.e. price differentiation in their pricing policies. These aspects indicate that-in line with marginalistic theories — demand situations obviously exercise a substantial influence on pricing behaviour. Considering the causes for price changes, however, cost oriented influences were clearly dominating. This stresses the great importance of the Austrian pricecontrol mechanism, the Paritätische Kommission, the institutionalized form of incomes policy in Austria.An econometric analysis of the process of price formation in the Austrian industry showed that the main factors of price changes were changes in labour costs and in international price levels, especially in the level of export prices. Our investigation also dealt with the question, whether differences in market-structure result in different, responses to demand fluctuations. Considering both the concepts of actual and potential competition it can be shown that enerprises in a more competitive situation react towards changes in demand conditions in a more stabilizing way that monopolistic firms: The reduce prices earlier in recession and they react to boom periods by expanding their capacities rather than by raising prices. Market structure and the intensity of competition thus seem to influence the position of the Phillips-curve in an economy.     

Information revelation in a market with pairwise meetings: the one sided information case

Summary We study a market with pairwise meetings of agents and with a one sided information asymmetry regarding the state of the world, which may be low or high. We characterize the set of equilibria of the model, and study its behavior as the market becomes approximately frictionless. For any one sided information economy there is an equilibrium where trade occurs at the right price (an ex-post individually rational price). Moreover, there is an open set of economies where in all the equilibria trade occurs at the right price.We thank Douglas Gale, Jerry Green, Sergiu Hart, Andreu Mas-Colell, Eric Maskin, Thomas Sjöström, and Kathy Spier for their comments. We are grateful to a referee for correcting a mistake in an earlier draft and for providing extremely helpful suggestions. The financial support of the Fulbright — MEC program (R. Serrano) and the Sloan Foundation (O. Yosha) is acknowledged.     

Regulatory Restrictions on Vertical Integration and Control: The Competitive Impact of Gasoline Divorcement Policies

Gasoline divorcement regulations restrict the integration of gasoline refiners and retailers. Theoretically, vertical integration can harm competition, making it possible that divorcement policies could increase welfare; alternatively, these policies may reduce welfare by sacrificing efficiencies. This paper attempts to differentiate between these possibilities by estimating a reduced form equation for the real retail price of unleaded regular gasoline. I find that divorcement regulations raise the price of gasoline by about 2.6¢ per gallon, reducing consumers surplus by over $100 million annually. This finding suggests that current proposals to further separate gasoline retailing from refining will be harmful to gasoline consumers.     

Exchange rates and perfect competition

The purpose of this note is to demonstrate that the commonly held belief that incomplete and perverse pass-through are incompatible with perfect competition is wrong! To this end, we consider two types of firms both operating in two countries. The demand sides of the markets of the two countries are separated and each type of firm produces its good in one of these countries. We study the effect of an exchange-rate change on the competitive equilibrium prices in each country. When producing for the foreign market causes the same costs as producing for the home market then the law of one price holds and an exchange-rate change is completely offset by price changes. Furthermore, when cost functions neither exhibit economies nor diseconomies of scope between producing for the home and producing for the foreign market then prices move in the right directions in response to an exchange-rate change. However, with general cost structures, even in this simple perfectly competitive model, perverse directions of price changes can result from an exchange-rate change.     

Strategy-proof and individually rational social choice functions for public good economies

Summary We consider the problem of choosing an allocation in an economy in which there are one private good and one public good. Our purpose is to identify the class of procedures of choosing an allocation which satisfy strategy-proofness, individual rationality, no exploitation and non-bossiness. Any such procedure is a scheme of semi-convex cost sharing determined by the minimum demand principle.I wish to thank Professors Salvador Barbera, Matthew Jackson, Herve Moulin and William Thomson for their helpful suggestions and two anonymous referees for their detailed comments. Conversations with Professors Hideo Konishi, Shinji Oseto Ken-ichi Shimomura and Stephen Ching were helpful. This work is supported by the Japan Economic Research Foundation and Research Grants PB89-0294 and PB89-0075 from the Direcion General de Investigacion Cientifica y Tecnica, Spanish Ministry of Education.     

Anonymous sequential games: Existence and characterization of equilibria

Summary In this paper we consider Anonymous Sequential Games with Aggregate Uncertainty. We prove existence of equilibrium when there is a general state space representing aggregate uncertainty. When the economy is stationary and the underlying process governing aggregate uncertainty Markov, we provide Markov representations of the equilibria.Table of notation Agents' characteristics space ( ) - A Action space of each agent (aA) - Y Y = x A - Aggregate distribution on agents' characteristics - (X) Space of probability measures onX - C(X) Space of continuous functions onX - _X Family of Borel sets ofX - State space of aggregate uncertainty ( ) - x _t=1 aggregate uncertainty for the infinite game - = (₁,₂,...,_t,...) - ^{t t} (₁, ₂,..., _t) - L₁(^t,C ×A),v _t Normed space of measurable functions from ^t toC( x A) - 8o(^t,( x A)) Space of measurable functions from ^tto( x A) - X^t X^t= x _s=1 ^t X - _X ^t Borel field onX ^t - v Distribution on - v_t Marginal distribution of v on ^t - v(^t)((¦^t)) Conditional distribution on given ^t - v^t(^s)(v_t(¦^s)) Conditional distribution on ^t given ^s (wheres) - _t Periodt distributional strategy - Distributional strategy for all periods =(₁,₂,...,_t,...) - _t Transition process for agents' types - ( _t,^t,y)(P _t+1(, _t , ^t ,y)) Transition function associated with _t - u _t Utility function - V _t (, a, , ^t) Value function for each collection (, a, , ^t ) - W _t (, , ^t ) Value function given optimal action a - C() Consistency correspondence. Distributions consistent with and characteristics transition functions - B() Best response correspondence (which also satisfy consistency) - E Set of equilibrium distributional strategies - x _t=1 ( ^t , (x A)) - S Expanded state space for Markov construction - (, a, ) Value function for Markov construction - P( _t ^* , _t y)(P(, _t ^* , _t , _y )) Invariant characteristics transition function for Markov game We wish to acknowledge very helpful conversations with C. d'Aspremont, B. Lipman, A. McLennan and J-F. Mertens. The financial support of the SSHRCC and the ARC at Queen's University is gratefully acknowledged. This paper was begun while the first author visited CORE. The financial support of CORE and the excellent research environment is gratefully acknowledged. The usual disclaimer applies.     

Economic and political competition in neoclassical and evolutionary perspective

Neoclassical welfare economics still looms large in the discipline of public choice. Particularly, by constructing analogies of political competition fundamental shortcomings of old neoclassical paradigms found their way into a new theory of political economy. Especially the failure to deal with the problem of limited knowledge and with the role of institutions obscured fundamental differences between political and economic systems of coordination and control. Hence, I propose a non-neoclassical perspective, using Hayekian concepts like competition as a discovery procedure or spontaneous order to develop an alternative agenda for many fields of public choice. I shall first outline a critique of neoclassical equilibrium settings in economics and in similarly constructed models of democracy. Then various properties of economic and political institutions, the competition of ideas and institutional competition among jurisdictions will be discussed in an evolutionary perspective. Not surprisingly, these applications reveal some similarities to central themes of constitutional political economy.     

Inter-industry wage differentials and strategic trade policy

Recent studies suggest that inter-industry wage differentials exist which are neither caused by different endownments of the workers with human capital, nor by different working conditions, nor by institutional rigidities. Higher employment in high-wage sectors due to exports, therefore, raises welfare. According to empirical evidence presented here more likely than not net exports from sectors paying wage premia lead to some extra gains from trade (that cannot be explained by trade policy promoting primary sectors by high amounts of subsidies per employee) for the German economy. A case is made, however, against strategic trade policy in favour of these sectors pointing to uncertainty about the amount of the differentials, their international (dis)similarity, and their sources.

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Zusammenfassung Empirische Untersuchungen deuten darauf hin, daß auch in der Bundesrepublik Deutschland Arbeitskräfte mit gleicher Humankapitalausstattung, die unter gleichen Arbeitsbedingungen in Unternehmen gleicher Größe in einer Region arbeiten, unterschiedlich entlohnt werden, wenn sie in unterschiedlichen Sektoren arbeiten. Bestehen solche Sektorlohndifferentiale, dann hat eine Ausweitung der Beschäftigung in Hochlohnsektoren positive Wohlfahrtseffekte. Es wird daher vielfach gefordert, diese primären Sektoren vor internationaler Konkurrenz zu schützen und sie durch Subventionen zu fördern. Die vorliegende Arbeit präsentiert empirische Evidenz dafür, daß die Bundesrepublik Deutschland Extra-Gewinne aus dem Außenhandel bezieht, weil zwischen der Netto-Exportquote und der Höhe des Sektorlohndifferentials ein positiver Zusammenhang besteht, ohne daß sich die Subventionspolitik an diesen Differentialen orientiert. Gegen eine gezielte Förderung der Hochlohnsektoren im Rahmen einer strategischen Handelspolitik werden dann drei Argumente vorgebracht, die mit Unsicherheiten über Höhe, internationale Ähnlichkeit und Ursachen der Differentiale zusammenhängen.

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Earlier versions of this paper were presented at the annual meeting of the international economists' group of the Verein für Socialpolitik at Hohenheim University in May 1991, at the Sixth Annual Congress of the European Economic Association in Cambridge in September 1991, and at the Universities of Hamburg and Bielefeld. I would like to thank participants at the discussions and four anonymous referees for helpful comments. The usual disclaimer applies.     

Exchange rates and bertrand oligopoly

The impact of exchange-rate changes on industrial prices seems ambiguous. Incomplete and even perverse pass-through has been observed: the import prices in the depreciating country decrease while those in the appreciating country increase. To explain these counterintuitive price reactions we consider a situation of international Bertrand competition: two firms, based in different countries, are selling in both countries simultaneously. The profit-maximizing duopolists set the prices for their products in each of the two markets which are segmented on the demand side. We then study the qualitative effect of an exogenous exchange-rate change on the Bertrand-Nash equilibrium. Under the strong assumption of linear demand and cost functions we have normal exchange-rate pass-through. However, allowing for more general cost structures in this simple static model enables us to show that the import prices in both countries might move in counterintuitive directions.     

Nachfragesysteme für österreich

Summary This paper gives an empirical reexamination of the Linear-Expenditure-hypothesis for Austria. It starts with a brief theoretical discussion of the principal properties and restrictions of the Linear-Expenditure-System (LES). To obtain empirical estimates of the parameters of the LES two different estimation procedures are applied, i.e. the original method used byStone and a simplified version of the Systems-Least-Squares-approach (following theMarquardt-algorithm). There are no essential differences between these estimates. They all seem plausible and satisfy the theoretical restrictions.Usually the stability (i.e. time-invariance) of the parameters is accepted without proof. Using the Moving-Window-Regression-technique, however, most of the estimates vary significantly in time. To obtain a direct proof of the time-dependence of the parameters the LES is reestimated now including trend-factors. Especially results considering time-dependent marginal-budget-shares are considerably better than the static-model results.The conclusion of this paper is that the static version of the LES does not explain the consumer behaviour in Austria and that much more effort should be spent on the estimation of dynamic demand systems.     

Existence of an equilibrium in first price auctions

Summary We study the first price auction game with an arbitrary number of bidders when the bidders' valuations are independent from each other. In technical words, we work within the independent private value model. We show that if the supports of the valuation probability distributions have the same minimum and if this minimum is not a mass point of any of these distributions, then a Nash equilibrium of the first price auction exists. We then modify the first price auction game by adding a closed interval of messages. Every bidder has to send a message with the bid he submits. These messages are used in the resolution of the ties. The winner of the auction is chosen randomly among the highest bidders with the highest value of the message among the highest bidders. In the general case, we prove the existence of a Nash equilibrium for this augmented first price auction.I wish to thank Mamoru Kaneko and a referee for their comments on an earlier draft.     

“Buy Domestic” Campaigns and Optimal Tariffs

This paper attempts to analyze the strategic use of optimal tariffs and to examine the effects of national bias on the optimal trade policy and social welfare in a two-country, two-good, price competition model derived from Neven et al. (1991). The major findings are as follows. (1) If all consumers prefer the domestic good, then buy domestic campaigns will decrease the prohibitive tariff rate and increase local welfare. (2) If at least some consumers prefer the foreign good, but not to a great extent, then buy domestic campaigns will not change the optimal tariff rate, but may improve local welfare. (3) When all consumers greatly prefer the foreign good, then promotion of buy domestic decreases the optimal tariff rate, but it cannot improve social welfare. With this framework, we also prove that buy domestic campaigns serve as a substitute for tariffs with respect to a strategic trade policy.